MinT - Information on Result #1011594

Information on Result #1011594

Linear OOA(3²⁴⁴, 96, F₃, 3, 112) (dual of [(96, 3), 44, 113]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3¹⁰¹, 48, F₃, 3, 56) (dual of [(48, 3), 43, 57]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,87P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁴³, 48, F₃, 3, 112) (dual of [(48, 3), 1, 113]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹⁴³, 49, F₃, 3, 112) (dual of [(49, 3), 4, 113]-NRT-code), using
  - strength reduction [i] based on linear OOA(3¹⁴³, 49, F₃, 3, 118) (dual of [(49, 3), 4, 119]-NRT-code), using
    - repeating each code word 7 times [i] based on linear OOA(3¹⁷, 7, F₃, 3, 16) (dual of [(7, 3), 4, 17]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,4P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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